Probability
What is the definition of probability?
The likelihood of something happening
Can be ordered, and meaningful differences between data entries
interval
Find the median: 28, 25, 22, 15, 25
25
A fair spinner with equal sections numbered 1 to 5 is thrown 500 times. Work out how many times it can be expected to land on 5.
100
There is a 13/52 chance of a person drawing a spade from a normal deck of cards. What is the probability of a person drawing another spade from the deck given that the first card was not put back into the deck (without replacement)?
12/52
A cooler has 8 cans of soda; 3 cokes, 3 sprites, and 2 root beers. If you reach into the cooler, what are the odds that you will pick a diet soda?
5/26
Are qualitative or quantitative , data at this level can be arranged in order, or ranked, but differences between data entries are meaningful.
Ordinal
Find the mode: 6, 12, 3, 15, 3, 9, 2, 8, 1
3
The number of games the Good guys can expect to win out of their next 16 if they've won 46 out of the last 73 games.
10
There are 15 girls and 8 boys in Mrs. Meaney's 7th period. There is a 50% chance that a student will leave the classroom during 7th period. What is the probability of a student leaving the classroom given that they are a boy?
1/2
A spinner has 4 equal pieces to it, labeled 1, 2, 3, or 4. What are the odds that you will spin and land on an even number?
2/4 or 1/2
What is an inherent zero?
Zero or none
Find the mean: 95, 92, 88, 85, 85, 91, 100, 88, 86, 90, 98, 94
91
The expected value for rolling a fair 10-sided die.
5.5
There is a 4/52 chance of drawing a queen from a normal deck of cards. There is a 1/52 chance of drawing a queen of diamonds. What is the probability of drawing a diamond card given that the card drawn was a queen?
1/4
A bag contains 12 balls; 3 red, 5 blue, and 5 yellow. What is the probability of selecting a blue ball at random?
5/12
Are similar to data at the interval level, with added property that a zero entry is an inherent zero.
Ratio
Find the range: 771, 786, 745, 770, 786, 790, 786
45
Your expected earnings if you buy 1 raffle ticket for $2. 620 are sold and 1 ticket is picked for a prize of $300, 1 ticket is picked for a prize of $200, and 1 ticket is picked for a prize of $100.
-1.03
There is a 13/52 chance of a person drawing a card of clubs from a normal deck of cards. What is the probability of a person drawing a king given that it is a club?
1/13
A cooler has 8 cans of soda; 3 cokes, 3 sprites, and 2 root beers. If you reach into the cooler, what are the odds that you will pick a diet soda?
0/8
Are qualitative only, data at this level are categorized using names, labels or qualities, no mathematical computations can be made at this level
Nominal
Find the median: $19, $24, $30, $30, $19, $28
$26
P(X=x) = 1/x when x=2,3,6 and 0 all other values Work out E(X)
3
There is a 12/52 chance of a person drawing a face card from a normal deck of cards. What is the probability of a person drawing another face card from the deck given that the first card was not put back into the deck (without replacement)?
11/51